54 citations · 60 across the 2 of their papers we have counts for
3 papers · 1 filter
On the modified logarithmic Sobolev inequality for the heat-bath dynamics for 1D systems
Ivan Bardet, Angela Capel, Angelo Lucia +2
The mixing time of Markovian dissipative evolutions of open quantum many-body systems can be bounded using optimal constants of certain quantum functional inequalities, such as the…
Correlation length in random MPS and PEPS
Cécilia Lancien, David Pérez-García
Tensor network states are used extensively as a mathematically convenient description of physically relevant states of many-body quantum systems. Those built on regular lattices, i…
Mathematical open problems in Projected Entangled Pair States
J. Ignacio Cirac, José Garre-Rubio, David Pérez-García
Projected Entangled Pair States (PEPS) are used in practice as an efficient parametrization of the set of ground states of quantum many body systems. The aim of this paper is to pr…